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Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model (Hardcover, 2nd ed. 2015)
Loot Price: R3,526
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Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model (Hardcover, 2nd ed. 2015)
Series: Atlantis Studies in Mathematics for Engineering and Science, 11
Expected to ship within 10 - 15 working days
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Mean field approximation has been adopted to describe macroscopic
phenomena from microscopic overviews. It is still in progress;
fluid mechanics, gauge theory, plasma physics, quantum chemistry,
mathematical oncology, non-equilibirum thermodynamics. spite of
such a wide range of scientific areas that are concerned with the
mean field theory, a unified study of its mathematical structure
has not been discussed explicitly in the open literature. The
benefit of this point of view on nonlinear problems should have
significant impact on future research, as will be seen from the
underlying features of self-assembly or bottom-up self-organization
which is to be illustrated in a unified way. The aim of this book
is to formulate the variational and hierarchical aspects of the
equations that arise in the mean field theory from macroscopic
profiles to microscopic principles, from dynamics to equilibrium,
and from biological models to models that arise from chemistry and
physics.
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